A note on the Gyárfás–Sumner conjecture

The Gyárfás–Sumner conjecture says that for every tree T and every integer t ≥ 1, if G is a graph with no clique of size t and with sufficiently large chromatic number, then G contains an induced subgraph isomorphic to T. This remains open, but we prove that under the same hypotheses, G contains a s...

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Bibliographic Details
Main Authors: Nguyen, T, Scott, AD, Seymour, P
Format: Journal article
Language:English
Published: Springer Nature 2024